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213011001312 = 2533637610081
BaseRepresentation
bin1100011001100001110…
…0011110111111100000
3202100211002210000220220
43012120130132333200
511442221304020222
6241504513003040
721250416431304
oct3063034367740
9670732700826
10213011001312
118237918004a
1235348b53480
1317118a73415
14a44a0b1d04
15581a84ab5c
hex319871efe0

213011001312 has 48 divisors (see below), whose sum is σ = 559308535632. Its totient is φ = 70984028160.

The previous prime is 213011001311. The next prime is 213011001337. The reversal of 213011001312 is 213100110312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 213011001291 and 213011001300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213011001311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44112 + ... + 654192.

It is an arithmetic number, because the mean of its divisors is an integer number (11652261159).

Almost surely, 2213011001312 is an apocalyptic number.

It is an amenable number.

213011001312 is an abundant number, since it is smaller than the sum of its proper divisors (346297534320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213011001312 is a wasteful number, since it uses less digits than its factorization.

213011001312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613731 (or 613723 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 213011001312 its reverse (213100110312), we get a palindrome (426111111624).

The spelling of 213011001312 in words is "two hundred thirteen billion, eleven million, one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 3637 7274 10911 14548 21822 29096 43644 58192 87288 116384 174576 349152 610081 1220162 1830243 2440324 3660486 4880648 7320972 9761296 14641944 19522592 29283888 58567776 2218864597 4437729194 6656593791 8875458388 13313187582 17750916776 26626375164 35501833552 53252750328 71003667104 106505500656 213011001312